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Finding the Fourth Proportional to 53,457, 73,685.67 and 42,108.53

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Solution

The fourth proportional to 53,457, 73,685.67 and 42,108.53 is: 58,042.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,457 : 73,685.67 = 42,108.53 : x
  2. Step 2: Convert to fraction form
    53,457/73,685.67 = 42,108.53/x
  3. Step 3: Cross multiply
    53,457x = 73,685.67 × 42,108.53
  4. Step 4: Simplify right side
    53,457x = 3,102,794,877.34
  5. Step 5: Solve for x
    x = 3,102,794,877.34/53,457
  6. Step 6: Final answer
    x = 58,042.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.